Pith Number

pith:WDZV2G76

pith:2026:WDZV2G762BLYVUOVSORMDRQOUM

not attested not anchored not stored refs pending

Monodromy free Schr\"odinger operators and affine ${\widehat{\mathfrak{sl}}_2}$ master functions

Andrei Grigorev, Evgeny Mukhin

arxiv:2605.30164 v1 · 2026-05-28 · math.QA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDZV2G762BLYVUOVSORMDRQOUM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-29T02:06:11.474127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f35d1bfed0578ad1d593a2c1c60ea33866245a0579cd9e55db27dd2f6dc583

Aliases

arxiv: 2605.30164 · arxiv_version: 2605.30164v1 · doi: 10.48550/arxiv.2605.30164 · pith_short_12: WDZV2G762BLY · pith_short_16: WDZV2G762BLYVUOV · pith_short_8: WDZV2G76

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WDZV2G762BLYVUOVSORMDRQOUM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b0f35d1bfed0578ad1d593a2c1c60ea33866245a0579cd9e55db27dd2f6dc583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc71249f808ea19431589c711800ccc8ef34a3ce5df69cc6d02cd13ac82c8bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-05-28T16:18:34Z",
    "title_canon_sha256": "e7ad70f35057ca6f25bb0a1e13caf28db379b8efccc7b1fdcdd2cf23984a17e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30164",
    "kind": "arxiv",
    "version": 1
  }
}